Hi Lo Card Counting

  1. Hi Lo Card Counting Spanish 21
  2. Hi Lo Card Counting App
  3. Hi-lo Card Counting
  4. Hi Lo Card Counting Practice
  5. Hi Lo Card Counting Method
  • In games which have a skill element, such as blackjack or Spanish 21, the house edge is defined as the house advantage from optimal play (without the use of advanced techniques such as card counting), on the first hand of the shoe (the container that holds the cards).
  • The instructions will outline the values of the high, low, and neutral cards. BJB may also be used with other HI-LO card counting strategies. The higher value cards are assigned a value of -1 because each time one of those cards is drawn from the deck it makes the deck less favorable to the player.

Card counting is a system that experienced blackjack players use to get a profitable advantage over the casino. There are many individual “counts” or systems. Many of them are named after colorful professional gamblers from times past.

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The 2008 movie “21” bought card counting to the attention of the general public. It followed the true story of members of the MIT blackjack team as they won millions from casinos in LasVegas. This movie also highlighted the key challenge faced by card counters. To make a profit using these systems, you need to bet significantly more when the odds turn in your favor. Casinos are aware of this — and will quickly ban players they believe are counting cards.

This page has everything you need to know to get started with card counting. Below you will find the basics of how it works. Famoussystems, the ideal games for counters and how online blackjack can help you learn to count are also covered below.

How to count cards in blackjack

Blackjack is a game of incomplete information. Players act based on their own two cards and the single dealer up-card. Players must risk busting in many situations, even though the decisions are mathematically correct.

Small cards are the enemy of blackjack players. Values of two through six can make for the trickiest decisions. In fact, if you remove any significant number of small cards from the shoe, blackjack not only becomes easier, the player gets a mathematical edge over the house.

This is where card counting comes in.

Counters track the proportion of small cards to face cards and aces. At a certain point, the deck turns “positive.” The higher proportion of face cards means every hand played will generate long term profit for the player — not the house. This is because profit comes from doubling, splitting and hitting blackjack (natural21). All of these are more frequent when there are more high cards in the shoe.

To take advantage of this edge, counting players must boost their bet size. Without this bet size boost, money spent playing while waiting for the deck to turn positive would cancel out any wins.

There are multiple factors that affect whether a specific game is a candidate for card counting. The number of decks of cards in play, the rules on splitting and doubling down, and how the dealer reacts to a soft 17 all come into play. To get the best from counting cards, you need to find the games with the lowest house edge.

Level 3 card counting systems & true count explained

Card counting systems have three levels of complexity. The simplest systems are Hi-LoCounts. You count low cards as +1 and high cards as -1. The higher the count, the bigger the proportion of high cards to low cards.

Advantage players will increase their bets once a specific count is reached. To be sure that they have an advantage, they need to translate the current total into the “true count” first. This involves dividing the count by the number of decks still in play. If the count is +10, with five decks remaining in a six-deck shoe, then the “true count” is 10/5 = 2. This means games like double-deck blackjack are better for counting. Players do not need to play through those first decks in the shoe while waiting for the true count to be positive.

Level two and level three counting systems are more accurate. They assign +2 to some cards and +1 to others. This splits the twos and sevens from cards three throughsix, with some systems also counting nines differently. There are systems with separate counts for aces. Your bet sizes need to increase in line with the positive count — for example adding a unit every time the true count increases by two points.

If you are new to cardcounting, then a simple Hi-Lo Count is the place to start. Once you have mastered keeping track of the count while playing each hand perfectly and chatting with the other players, you will be ready to move to the next level.

Examples of card counting systems

The systems below range from level one to three. These are five of hundreds of possible systems, giving you an overview of how different systems vary in their complexity.

  • Hi-Lo Count: This is a balanced count and is the first system that new counters use. You add one to the total for each card value from two through six — and subtract one for 10s through aces. Seven, eight and nine are neutral. You then divide this count by the number of undealt decks and round up as needed. You should increase your bets when the count is positive — betting more the larger the positive number that you count. The advantage of the Hi-Lo system is simplicity. Compared with other blackjack counts, Hi Lo card counting does lackprecision.
  • Hi-Opt1 and 2: These systems were developed by LanceHumble, though they can be traced back to the 1960s. There are many more“neutral”cards compared to the Hi-Lo Count. Hi-Opt 1 uses aces, twos, sevens, eights and nines as zero for the count. Three, four, five and six are +1, and 10s through kings are -1. This system works best for single deckgames. Hi-Opt 2 makes 10s through kings -2 on the count, with +2 for fours and fives, +1 for twos, threes, sixes and sevens. Aces, eights and nines are neutral. These are accurate systems, though with single deck games rare (and closely watched), it can be difficult to find a suitable game to use them.
  • Ace-Five System: You will need to double your bet repeatedly as the count increases to make the Ace-Five System work. This is a simple count, involving only aces andfives. Every time a five is dealt, you add one, and every ace you see removes one. When the count is +2, you double your bet. Increasing it again for every +2 that gets added. If the count reverts to +1 or less, you go back to your initial bet size. The key advantage of this system is the simplicity. The always-changing bet size is likely to attract the attention of casino pit bosses.
  • Uston Advanced Count: Ken Uston was a famous card counter, known for his flamboyant lifestyle. His most complex system is the “Uston Advanced Count.” Aces count as zero in this system. Fives are +3; 10s through kings are -3; nines are -1; twos and eights are +1; and threes, fours, sixes and sevens are +2. As with the other systems, you increase your bets in line with how positive the count gets — keeping the number of decks in mind. This system is designed to work best with a separate count of theaces. The complexity means that it is for experienced card counters only.
  • KO Counting System: This system works like Hi-Lo, with an extra feature involving the insurance against dealer blackjack bet. It counts cards two through seven as +1, eight and nine as neutral and 10 through ace as -1. You should increase your bet at +2 or more (based on the true count). At +3 or greater, the insurance side bet becomes profitable and should be taken.

Which blackjack games are best for card counting?

Big casino resorts in Las Vegas, AtlanticCity, downtown Detroit and elsewhere run a wide selection of blackjack games. At the lowest buy-ins (typically $5 and up per hand), the rules give the casino a huge edge over theplayers. Examples include paying 6:5 instead of 3:2 for blackjack, limiting doubles after splits and having the dealer hit on soft 17. These unfavorable rules can easily boost the house edge to 3% or even more. With six or eight decks, getting a true count can be difficult.

Contrast this with the best games. An ideal setup is a single deck game, with liberal splitting/doubling rules, dealer standing on soft 17, late surrender and 3:2 for blackjack. With a house edge of 0.5% orless, these games are restricted to the high-limit rooms. This type of game is most likely to be closely monitored. Suddenly increasing your bet would be an instant trigger for experienced casino staff to watch closely.

Successful counters look for games with the lowest natural houseedge. They know the basic blackjack card counting strategy perfectly, so as not to give any edge back to the casino in the form of mistakes. If you do not know how to adapt blackjack strategy to subtle differences in the rules, then you are not yet ready to learn card counting techniques.

Is counting cards illegal in the US?

Counting cards is legal, unless you are using a mechanical or electronic device to help you keep track of the cards. Casinos do not want card counters in their games. People who are suspected of counting will be asked to leave the casino. Repeat offenses can see players banned — with trespass laws coming into effect if they attempt to return.

Counting

In 1979, Ken Uston took a casino in Atlantic City to court, challenging its right to ban “skilled” players. The court found in his favor. Rather than banning players, AC casinos now implement measures to stop card counting from working. They include regularshuffling, limiting players to flat bet sizes on each shoe and not allowing players to join a game mid-shoe.

Elsewhere, casinos will quickly ban players caught counting. This was the reason that the MIT team played in pairs. One player (betting small) would keep count, then signal to the big bet player when the count was positive. This player could then join the table, betting big amounts, while the original counter continued with smaller bets.

Card counting in other casino games

Very few casino games use a shoe containing several decks of cards. Casino poker variations like Caribbean stud or Ultimate Texas Hold ’em have a continual shuffle system, where a fresh shuffled deck is used for each hand. Baccarat does use a shoe, though it is not suitable for counting due to the complex scoring rules. Edge sorting is used in baccarat, though it is considered illegal in many jurisdictions.

This leaves blackjack variations like Spanish 21 and Free Bet Blackjack as the only candidates for card counting systems. Many variations of blackjack have a higher house edge than the main game. Spanish 21 removes 10s from the deck — starting the count on a negative.

Experienced advantage players use card counting to beat optional side bets. This requires a separate understanding of how each side bet works, with a counting system developed separately. Separate aces counts in blackjack can determine when the insurance against dealer blackjack bet becomes profitable.

Is it possible to count cards online?

Online casinos in regulated states have both live dealer and software-based blackjack options. They also have a range of games with different rules and side bets. Add in the game variations based on the 21 concept — and you will find a wide array of choices.

Advantage play through card counting is not possible at online casinos. Software based games use random number generator software to shuffle the cards for every hand. This means no count is possible. Live dealer games that are dealt in real time use eight deck shoes. What they do differently from brick and mortar casinos is reshuffle after around half of the cards are dealt. This makes it hard to spot situations where there is a positive true count. Add to this software that will instantly detect the bet sizing changes associated with counting.

What you can effectively do online is practice your counting skills. There are live dealer rooms at many of the biggest online casino brands, including Golden Nugget and BetMGM. You can enjoy a game and learn to keep score of the count while you play. Starting with simple systems like Ace-Five and Hi-Lo is ideal — you can move on to the more advanced systems as you gain experience.

If you live in a state with legal online casinos, make sure you keep a close eye on the casino bonus and promotion offers. You never know when a bonus aimed at blackjack players will become available.

Wrapping up: Card counting in blackjack

Card counting has been a part of blackjack since the1960s. Famous players including Humble and Uston published books on beating the house. Many of them are now considered among the classics of gambling literature.

Counting cards in blackjack gives you an edge over the house when there are relatively more high cards in the deck. This takes advantage of the player’s option to split, double down and to take insurance against dealer blackjack. Counting systems are graded into three levels, depending on their complexity. More complex systems are more accurate — though harder to use.

There is an Achilles’ heel for card counters. To make your knowledge of the count profitable, you need to significantly boost your bet sizes when the odds are in your favor. These bet size increases are a flag to casino staff to watch your play closely — which leads to card counters being banned. Card counting is not illegal, unless you use a device to help you keep track.

Online casinos are the perfect place to practice your card counting skills. You will not be able to get an advantage from them — as safeguards are in place. Live dealer casinos show a real table, making this the ideal way to find the right card counting system for you ahead of your next visit to a brick and mortar casino.

Hi Lo Card Counting Spanish 21

Slot machines are a popular type of casino game.
Counting

Games available in most casinos are commonly called casino games. In a casino game, the players gamble cash or casino chips on various possible random outcomes or combinations of outcomes. Casino games are also available in online casinos, where permitted by law. Casino games can also be played outside casinos for entertainment purposes like in parties or in school competitions, some on machines that simulate gambling.

Categories[edit]

Hi Lo Card Counting App

Overhead view of a casino floor with table games (bottom) and slot machines

There are three general categories of casino games: gaming machines, table games, and random number games. Gaming machines, such as slot machines and pachinko, are usually played by one player at a time and do not require the involvement of casino employees to play. Tables games, such as blackjack or craps, involve one or more players who are competing against the house (the casino itself) rather than each other. Table games are usually conducted by casino employees known as croupiers or dealers. Random number games are based upon the selection of random numbers, either from a computerized random number generator or from other gaming equipment. Random number games may be played at a table or through the purchase of paper tickets or cards, such as keno or bingo.

Hi-lo Card Counting

Some casino games combine multiple of the above aspects; for example, roulette is a table game conducted by a dealer, which involves random numbers. Casinos may also offer other type of gaming, such as hosting poker games or tournaments, where players compete against each other.

Common casino games[edit]

Notable games that are commonly found at casinos include:

Table games[edit]

  • Poker (Texas hold'em, Five-card draw, Omaha hold'em)

Gaming machines[edit]

Random numbers[edit]

House advantage[edit]

Casino games typically provide a predictable long-term advantage to the casino, or 'house', while offering the players the possibility of a short-term gain that in some cases can be large. Some casino games have a skill element, where the players' decisions have an impact on the results. Players possessing sufficient skills to eliminate the inherent long-term disadvantage (the house edge or vigorish) in a casino game are referred to as advantage players.

The players' disadvantage is a result of the casino not paying winning wagers according to the game's 'true odds', which are the payouts that would be expected considering the odds of a wager either winning or losing. For example, if a game is played by wagering on the number that would result from the roll of one die, true odds would be 5 times the amount wagered since there is a 1 in 6 chance of any single number appearing, assuming that the player gets the original amount wagered back. However, the casino may only pay 4 times the amount wagered for a winning wager.

The house edge or vigorish is defined as the casino profit expressed as the percentage of the player's original bet. (In games such as blackjack or Spanish 21, the final bet may be several times the original bet, if the player double and splits.)

A European roulette ('single zero') wheel

In American roulette, there are two 'zeroes' (0, 00) and 36 non-zero numbers (18 red and 18 black). This leads to a higher house edge compared to European roulette. The chances of a player, who bets 1 unit on red, winning is 18/38 and his chances of losing 1 unit is 20/38. The player's expected value is EV = (18/38 × 1) + (20/38 × (−1)) = 18/38 − 20/38 = −2/38 = −5.26%. Therefore, the house edge is 5.26%. After 10 spins, betting 1 unit per spin, the average house profit will be 10 × 1 × 5.26% = 0.53 units. European roulette wheels have only one 'zero' and therefore the house advantage (ignoring the en prison rule) is equal to 1/37 = 2.7%.

Hi Lo Card Counting Practice

The house edge of casino games varies greatly with the game, with some games having an edge as low as 0.3%. Keno can have house edges up to 25%, slot machines having up to 15%.

The calculation of the roulette house edge is a trivial exercise; for other games, this is not usually the case. Combinatorial analysis and/or computer simulation is necessary to complete the task.

In games which have a skill element, such as blackjack or Spanish 21, the house edge is defined as the house advantage from optimal play (without the use of advanced techniques such as card counting), on the first hand of the shoe (the container that holds the cards). The set of the optimal plays for all possible hands is known as 'basic strategy' and is highly dependent on the specific rules and even the number of decks used. Good blackjack and Spanish 21 games have house edges below 0.5%.

Traditionally, the majority of casinos have refused to reveal the house edge information for their slots games and due to the unknown number of symbols and weightings of the reels, in most cases it is much more difficult to calculate the house edge than that in other casino games. However, due to some online properties revealing this information and some independent research conducted by Michael Shackleford in the offline sector, this pattern is slowly changing.[1]

In games where players are not competing against the house, such as poker, the casino usually earns money via a commission, known as a 'rake'.

Standard deviation[edit]

The luck factor in a casino game is quantified using standard deviations (SD).[2] The standard deviation of a simple game like roulette can be calculated using the binomial distribution. In the binomial distribution, SD = npq, where n = number of rounds played, p = probability of winning, and q = probability of losing. The binomial distribution assumes a result of 1 unit for a win, and 0 units for a loss, rather than −1 units for a loss, which doubles the range of possible outcomes. Furthermore, if we flat bet at 10 units per round instead of 1 unit, the range of possible outcomes increases 10 fold.[3]

SD (roulette, even-money bet) = 2bnpq, where b = flat bet per round, n = number of rounds, p = 18/38, and q = 20/38.

Hi Lo Card Counting Method

For example, after 10 rounds at 1 unit per round, the standard deviation will be 2 × 1 × 10 × 18/38 × 20/38 = 3.16 units. After 10 rounds, the expected loss will be 10 × 1 × 5.26% = 0.53. As you can see, standard deviation is many times the magnitude of the expected loss.[4]

The standard deviation for pai gow poker is the lowest out of all common casino games. Many casino games, particularly slot machines, have extremely high standard deviations. The bigger size of the potential payouts, the more the standard deviation may increase.

As the number of rounds increases, eventually, the expected loss will exceed the standard deviation, many times over. From the formula, we can see the standard deviation is proportional to the square root of the number of rounds played, while the expected loss is proportional to the number of rounds played. As the number of rounds increases, the expected loss increases at a much faster rate. This is why it is impossible for a gambler to win in the long term. It is the high ratio of short-term standard deviation to expected loss that fools gamblers into thinking that they can win.

It is important for a casino to know both the house edge and variance for all of their games. The house edge tells them what kind of profit they will make as percentage of turnover, and the variance tells them how much they need in the way of cash reserves. The mathematicians and computer programmers that do this kind of work are called gaming mathematicians and gaming analysts. Casinos do not have in-house expertise in this field, so outsource their requirements to experts in the gaming analysis field.

See also[edit]

References[edit]

  1. ^'Michael Shackleford is the wizard of odds'. Observer. Retrieved 13 October 2015.
  2. ^Hagan, general editor, Julian Harris, Harris (2012). Gaming law : jurisdictional comparisons (1st ed.). London: European Lawyer Reference Series/Thomson Reuters. ISBN978-0414024861.
  3. ^Gao, J.Z.; Fong, D.; Liu, X. (April 2011). 'Mathematical analyses of casino rebate systems for VIP gambling'. International Gambling Studies. 11 (1): 93–106. doi:10.1080/14459795.2011.552575. S2CID144540412.
  4. ^Andrew, Siegel (2011). Practical Business Statistics. Academic Press. ISBN978-0123877178. Retrieved 13 October 2015.
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